package offer;

public class Offer47 {

    public int maxValue(int[][] grid) {
    int xlength= grid.length;
    int ylength=grid[0].length;
     int[][]  dp=new int[xlength][ylength];
     dp[0][0]=grid[0][0];
        for (int i = 1; i <xlength; i++) {
            dp[i][0]=dp[i-1][0]+grid[i][0];
        }
        
        for (int j = 1; j <ylength; j++) {
            dp[0][j]=dp[0][j-1]+grid[0][j];
        }

        for (int i = 1; i < xlength; i++) {
            for (int j = 1; j < ylength; j++) {
                dp[i][j]=Math.max(dp[i-1][j]+grid[i][j],dp[i][j-1]+grid[i][j]);
            }
            
        }

        return dp[xlength-1][ylength-1];
        
    }
}
